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We theoretically investigate protocols based on optimal control theory (OCT) for manipulating Bose-Einstein condensates in magnetic microtraps, using the framework of the Gross-Pitaevskii equation. In our approach we explicitly account for…

Quantum Physics · Physics 2015-06-17 Georg Jäger , Ulrich Hohenester

Using Optimal Control Theory (OCT), we design fast ramps for the controlled transport of Bose-Einstein condensates with atom chips' magnetic traps. These ramps are engineered in the context of precision atom interferometry experiments and…

Quantum Physics · Physics 2019-04-04 S. Amri , R. Corgier , D. Sugny , E. M. Rasel , N. Gaaloul , E. Charron

Ultracold gases promise many applications in quantum metrology, simulation and computation. In this context, optimal control theory (OCT) provides a versatile framework for the efficient preparation of complex quantum states. However, due…

Quantum Physics · Physics 2015-11-12 Jan-Frederik Mennemann , Daniel Matthes , Rada-Maria Weishäupl , Tim Langen

OCTBEC is a Matlab toolbox designed for optimal quantum control, within the framework of optimal control theory (OCT), of Bose-Einstein condensates (BEC). The systems we have in mind are ultracold atoms in confined geometries, where the…

Quantum Physics · Physics 2015-06-17 Ulrich Hohenester

We study optimal quantum control of the dynamics of trapped Bose-Einstein condensates: The targets are to split a condensate, residing initially in a single well, into a double well, without inducing excitation; and to excite a condensate…

Quantum Physics · Physics 2014-10-23 Georg Jäger , Daniel Reich , Michael H. Goerz , Christiane P. Koch , Ulrich Hohenester

In this article, we describe an experimental system for generating Bose-Einstein condensates and controlling the shape and motion of the condensate by using miniaturised magnetic potentials. In particular, we describe the magnetic trap…

Soft Condensed Matter · Physics 2009-11-07 J. Fortagh , H. Ott , S. Kraft , A. Guenther , C. Zimmermann

We discuss quantum optimal control of Bose-Einstein condensates trapped in magnetic microtraps. The objective is to transfer a condensate from the ground state to the first-excited state. This type of control problem is typically solved…

Quantum Physics · Physics 2018-08-21 Jens Jakob Sørensen , Mikel Aranburu , Till Heinzel , Jacob Sherson

The coherent flow of a Bose-Einstein condensate through a quantum dot in a magnetic waveguide is studied. By the numerical integration of the time-dependent Gross-Pitaevskii equation in presence of a source term, we simulate the propagation…

Other Condensed Matter · Physics 2009-11-10 Tobias Paul , Klaus Richter , Peter Schlagheck

We study the behavior of a Bose-Einstein condensate held in an optical lattice. We first show how a self-trapping transition can be induced in the system by either increasing the number of atoms occupying a lattice site, or by raising the…

Other Condensed Matter · Physics 2007-05-23 C. E. Creffield

We investigate fast transport and spin manipulation of tunable spin-orbit-coupled Bose-Einstein condensates in a moving harmonic trap. Motivated by the concept of "shortcuts to adiabaticity", we design inversely the time-dependent trap…

Quantum Physics · Physics 2018-02-14 Xi Chen , Ruan-Lei Jiang , Jing Li , Yue Ban. , E. Ya. Sherman

In this study, we investigate the dynamics of tunable spin-orbit-coupled spin-1 Bose-Einstein condensates confined within a harmonic trap, focusing on rapid transport, spin manipulation, and splitting dynamics. Using shortcuts to…

Quantum Gases · Physics 2024-06-07 Yaning Xu , Yuanyuan Chen , Xi Chen

Bose-Einstein condensation has been achieved in a magnetic surface micro trap with 4x10^5 87Rb atoms. The strongly anisotropic trapping potential is generated by a microstructure which consists of microfabricated linear copper conductors at…

Statistical Mechanics · Physics 2017-08-16 H. Ott , J. Fortagh , G. Schlotterbeck , A. Grossmann , C. Zimmermann

We formulate the problem of efficient transport of a quantum particle trapped in a harmonic potential which can move with a bounded velocity, as a minimum-time problem on a linear system with bounded input. We completely solve the…

Optimization and Control · Mathematics 2014-04-21 Dionisis Stefanatos , Jr-Shin Li

We numerically study the optimal control of an atomic Bose-Einstein condensate in an optical lattice. We present two generalizations of the gradient-based algorithm, GRAPE, in the non-linear case and for a two-dimensional lattice. We show…

Quantum Physics · Physics 2025-02-13 E. Dionis , B. Peaudecerf , S. Guérin , D. Guéry-Odelin , D. Sugny

Quantum technologies will ultimately require manipulating many-body quantum systems with high precision. Cold atom experiments represent a stepping stone in that direction: a high degree of control has been achieved on systems of increasing…

Using a set of general methods developed by Krotov [A. I. Konnov and V. A. Krotov, Automation and Remote Control, {\bf 60}, 1427 (1999)], we extend the capabilities of Optimal Control Theory to the Nonlinear Schr\"odinger Equation (NLSE).…

Soft Condensed Matter · Physics 2016-08-31 Shlomo E. Sklarz , David J. Tannor

We consider trapped Bose gases in three dimensions in the Gross-Pitaevskii regime whose low energy states are well known to exhibit Bose-Einstein condensation. That is, the majority of the particles occupies the same condensate state. We…

Mathematical Physics · Physics 2025-01-28 Nils Behrmann , Christian Brennecke , Simone Rademacher

Bose-Einstein condensates (BECs) offer the potential to examine quantum behavior at large length and time scales, as well as forming promising candidates for quantum technology applications. Thus, the manipulation of BECs using control…

Quantum Physics · Physics 2016-05-25 David Hocker , Julia Yan , Herschel Rabitz

We present the first experimental realisation of Bose-Einstein condensation in a purely magnetic double-well potential. This has been realised by combining a static Ioffe-Pritchard trap with a time orbiting potential (TOP). The double trap…

Quantum Gases · Physics 2013-11-26 T. G. Tiecke , M. Kemmann , Ch. Buggle , I. Shvarchuck , W. von Klitzing , J. T. M. Walraven

We exploit the variation of the atomic interaction in order to move ultra-cold atoms across an AC-driven periodic lattice. By breaking relevant symmetries, a gathering of atoms is achieved. Accurate control of the gathered atoms positions…

Pattern Formation and Solitons · Physics 2015-05-18 L. Morales-Molina , E. Arevalo
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